4944326400 has 864 divisors, whose sum is σ = 20438691840. Its totient is φ = 1161216000.

The previous prime is 4944326383. The next prime is 4944326411. The reversal of 4944326400 is 46234494.

4944326400 is a `hidden beast` number, since 4 + 9 + 4 + 4 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69638365 + ... + 69638435.

Almost surely, 2^4944326400 is an apocalyptic number.

4944326400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4944326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219345920).

4944326400 is an abundant number, since it is smaller than the sum of its proper divisors (15494365440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4944326400 is a wasteful number, since it uses less digits than its factorization.

4944326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4944326400 is about 70315.9043175866. The cubic root of 4944326400 is about 1703.6055424972.

The spelling of 4944326400 in words is "four billion, nine hundred forty-four million, three hundred twenty-six thousand, four hundred".